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Finding the Fourth Proportional to 12,112.96, 16,716.06 and 6,807.77

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Solution

The fourth proportional to 12,112.96, 16,716.06 and 6,807.77 is: 9,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112.96 : 16,716.06 = 6,807.77 : x
  2. Step 2: Convert to fraction form
    12,112.96/16,716.06 = 6,807.77/x
  3. Step 3: Cross multiply
    12,112.96x = 16,716.06 × 6,807.77
  4. Step 4: Simplify right side
    12,112.96x = 113,799,091.79
  5. Step 5: Solve for x
    x = 113,799,091.79/12,112.96
  6. Step 6: Final answer
    x = 9,394.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.